package com.fishercoder.solutions;

import com.fishercoder.common.classes.TreeNode;

/**
 * 108. Convert Sorted Array to Binary Search Tree
 *
 * Given an array where elements are sorted in ascending order, convert it to a height balanced BST.
 * For this problem, a height-balanced binary tree is defined as a binary tree in which
 * the depth of the two subtrees of every node never differ by more than 1.
 *
 * Example:
 * Given the sorted array: [-10,-3,0,5,9],
 * One possible answer is: [0,-3,9,-10,null,5], which represents the following height balanced BST:
 *
 *       0
 *      / \
 *    -3   9
 *    /   /
 *  -10  5
 */
public class _108 {

  public static class Solution1 {
    public TreeNode sortedArrayToBST(int[] num) {
      return dfs(num, 0, num.length - 1);
    }

    public TreeNode dfs(int[] num, int start, int end) {
      if (start > end) {
        return null;
      }
      int mid = (end + start) / 2;
      TreeNode root = new TreeNode(num[mid]);
      root.left = dfs(num, start, mid - 1);
      root.right = dfs(num, mid + 1, end);
      return root;
    }
  }
}
